Prove that
−
−
= 1 +
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Answer:
Here is your answer :-
Step-by-step explanation:
We use only the usual field axioms for the real numbers. First we prove an intermediate result.
0×0
=0×(0+0)
=0×0+0×0
Subtract 0×0 from each side to get 0=0×0. Now we are ready for the final kill.
0
=0×0
=(1−1)×(1−1)
=1×1+1×(−1)+(−1)×1+(−1)×(−1)
=1+(−1)+(−1)+(−1)×(−1)
=(−1)+(−1)×(−1)
Add 1 to each side to get 1=(−1)×(−1).
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